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21112200122202 = 232783109115116091
BaseRepresentation
bin1001100110011100100010…
…01100000100111101011010
32202202022021112012200210100
410303032101030010331122
510231400241212402302
6112522451050400230
74306210000046550
oct463162114047532
982668245180710
1021112200122202
1167aa6a7636452
12244b829130076
13ba1b44821617
1452db9bb57bd0
1526929b937d1c
hex133391304f5a

21112200122202 has 192 divisors, whose sum is σ = 53442783313920. Its totient is φ = 5899211856000.

The previous prime is 21112200122201. The next prime is 21112200122287. The reversal of 21112200122202 is 20222100221112.

It is a happy number.

21112200122202 is a `hidden beast` number, since 211 + 1 + 220 + 0 + 12 + 220 + 2 = 666.

It is a super-2 number, since 2×211122001222022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21112200122201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1312042177 + ... + 1312058267.

It is an arithmetic number, because the mean of its divisors is an integer number (278347829760).

Almost surely, 221112200122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112200122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26721391656960).

21112200122202 is an abundant number, since it is smaller than the sum of its proper divisors (32330583191718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21112200122202 is a wasteful number, since it uses less digits than its factorization.

21112200122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17449 (or 17446 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112200122202 its reverse (20222100221112), we get a palindrome (41334300343314).

The spelling of 21112200122202 in words is "twenty-one trillion, one hundred twelve billion, two hundred million, one hundred twenty-two thousand, two hundred two".